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Finding the Third Proportional to 186,912 and 289,896

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Solution

The third proportional to 186,912 and 289,896 is: 449,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,912 : 289,896 = 289,896 : x
  2. Step 2: Convert to fraction form
    186,912/289,896 = 289,896/x
  3. Step 3: Cross multiply
    186,912x = 289,896 × 289,896
  4. Step 4: Simplify right side
    186,912x = 84,039,690,816
  5. Step 5: Solve for x
    x = 84,039,690,816/186,912
  6. Step 6: Final answer
    x = 449,621.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.